===== Finite Element Modeling of Woodwind Air Columns =====

**Participants:** Antoine Lefebvre, Jean Kergomard and Gary Scavone

**Period:** 2009 - 2015

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==== Summary ====

The goal of this research is to use the Finite Element Method to investigate the acoustic characteristics of woodwind instrument air columns. Particular analyses have included woodwind toneholes and the derivation of one-dimensional transfer matrix representations, external tonehole interactions and the junction of a cylinder and a truncated cone.

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==== COMSOL/Matlab Scripts ====

This section contains links to view and download the COMSOL/Matlab Scripts used for the simulations in the {{:publications:phd_lefebvre_2010.pdf|doctoral thesis of Antoine Lefebvre}}. They are organised following the thesis outline.

=== Chapter 2 Finite Element Simulations of Single Woodwind Toneholes ===
  * [[projects:fem:unflangedpipe | Radiation Impedance of an Unflanged Pipe (unflangedpipe.m)]]
  * [[projects:fem:flangedpipe | Radiation Impedance of a Flanged Pipe (flangedpipe.m)]]
  * [[projects:fem:toneholeflangeddalmont | Transmission Matrix Parameters of Toneholes Studied by Dalmont et al. (2002) (toneholeflangeddalmont.m)]]

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==== Publications ====

  * Kergomard, J., Lefebvre, A. and Scavone, G. (2015) [[http://www.ingentaconnect.com/contentone/dav/aaua/2015/00000101/00000006/art00015|"Matching of fundamental modes at a junction of a cylinder and a truncated cone; Application to the calculation of some radiation impedances."]] //Acta Acustica united with Acustica//, Vol. 101, No. 6, pp. 1189--1198.

  * Lefebvre, A., Scavone, G. and Kergomard, J. (2013). [[http://www.ingentaconnect.com/content/dav/aaua/2013/00000099/00000006/art00015|"External tonehole interactions in woodwind instruments."]] //Acta Acustica united with Acustica//, Vol. 99, No. 6, pp. 975-985.

  * Lefebvre, A., Scavone, G. (2012). [[http://asa.scitation.org/doi/full/10.1121/1.3685481|"Characterization of woodwind instrument toneholes with the finite element method."]] //Journal of the Acoustical Society of America//, Vol. 131, No. 4, pp. 3153-3163.

  * Lefebvre, A. and Scavone, G. {{:publications:isma2010_toneholes.pdf|"Refinements to the Model of a Single Woodwind Instrument Tonehole."}} In Proceedings of the 2010 International Symposium on Musical Acoustics, Sydney / Katoomba, Australia, 2010.

  * Lefebvre, A. and Scavone, G. {{:publications:isma2010_fem_woodwinds.pdf|"Finite Element Modeling of Woodwind Instruments."}} In Proceedings of the 2010 International Symposium on Musical Acoustics, Sydney / Katoomba, Australia, 2010.

  * Lefebvre, A. (2010).  {{:publications:phd_lefebvre_2010.pdf|"Computational Acoustic Methods for the Design of Woodwind Instruments."}} Ph.D. thesis, McGill University. [4.8 MB] 

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==== References ====

  * Dalmont, J., Nederveen, C., Dubos, V., Ollivier, S., Meserette, V., & Sligte, E. te. (2002). Experimental determination of the equivalent circuit of an open side hole: Linear and non linear behaviour. //Acustica//, 88, 567–575.

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